【20 天 (結果變5天) 來 Skim + Scan (03)：一頁書心得 (數商)】
https://www.penana.com/article/1649263
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因為時間關係，我把 20 本縮減為 5 本。
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Day 23 ～ Day 27，我會列出五本會計學/數學相關書籍，從裡頭擷取一頁 (結果超過一頁～) 內容，然後寫一個小小的心得。
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from 博客來網路書店・我的電子書櫃「日記創挑書單」
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今天這本書是《真希望高中數學這樣教：系列暢銷20萬冊！跟著東大教授的解題祕訣，6天掌握高中數學關鍵》，作者是西成活裕, 鄉和貴，譯者是張郁萱。
https://www.books.com.tw/products/E050113778
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目錄
前言171Please respect copyright.ＰＥＮＡＮＡ2ryvi8zJ4W
登場人物介紹171Please respect copyright.ＰＥＮＡＮＡs34iaqyG09
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第一天 數學的樂趣在哪裡？171Please respect copyright.ＰＥＮＡＮＡXAbTFTkLHS
第一課 其實並不可怕的高中數學171Please respect copyright.ＰＥＮＡＮＡxJIl9XUWYR
好想學真正實用的數學！171Please respect copyright.ＰＥＮＡＮＡtN5WoZiSu0
高中數學比國中數學還簡單！？171Please respect copyright.ＰＥＮＡＮＡOXGXPxq3UH
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第二課 超精簡的創新數學課！171Please respect copyright.ＰＥＮＡＮＡVZ2OQOtZGl
果斷刪去八成教科書內容！171Please respect copyright.ＰＥＮＡＮＡKbmtJvNOOd
世界首創！「西成流」數學分類法171Please respect copyright.ＰＥＮＡＮＡ2M5ygX8IUX
高中數學中最輕鬆的是「代數」171Please respect copyright.ＰＥＮＡＮＡSq9r5rjJqT
高中數學的顛峰是「微分積分」171Please respect copyright.ＰＥＮＡＮＡtlnu6z9YBp
超好用的工具「餘弦定理」171Please respect copyright.ＰＥＮＡＮＡEUraAq8cjh
真正的幾何大魔王是「向量」171Please respect copyright.ＰＥＮＡＮＡO4tU9V1l6I
Column文組無法理解數學的理由171Please respect copyright.ＰＥＮＡＮＡ1zaVq6q5KE
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第二天 輕鬆致勝！搞懂「代數」就能精通高中文組數學！！171Please respect copyright.ＰＥＮＡＮＡhyQA49BNsf
第一課 速速學會統計學基礎171Please respect copyright.ＰＥＮＡＮＡnWhYxolzKi
數據處理的3大必備條件171Please respect copyright.ＰＥＮＡＮＡy8a5t5JTTa
為什麼增加個數很好用？171Please respect copyright.ＰＥＮＡＮＡkLDm1D7P4F
「排列組合」是指什麼？171Please respect copyright.ＰＥＮＡＮＡlrZB4BacNU
看離散程度的「標準差」171Please respect copyright.ＰＥＮＡＮＡojGKJX4j3g
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第二課 記住「數列相加」的方法171Please respect copyright.ＰＥＮＡＮＡlt8RoIpTMI
天才高斯少年發現的「倒序相加」171Please respect copyright.ＰＥＮＡＮＡw7Pppn4GjG
超好用！任何等差數列都能用171Please respect copyright.ＰＥＮＡＮＡ4ciAEac4lD
嚴禁直接死背公式！171Please respect copyright.ＰＥＮＡＮＡkso0B2gXVj
導出等差數列和的公式171Please respect copyright.ＰＥＮＡＮＡkSARWlrcqd
豐臣秀吉被擺了一道！數學變黃金的故事171Please respect copyright.ＰＥＮＡＮＡapf72WXxUl
等比數列是「相乘後錯位相減」171Please respect copyright.ＰＥＮＡＮＡrpWk2MsOoh
導出等比數列和的公式171Please respect copyright.ＰＥＮＡＮＡ1tcC5OJ5fX
先知道處理數列和的符號！171Please respect copyright.ＰＥＮＡＮＡ8TaKdk2Zun
Column把數學記號當作是念魔咒171Please respect copyright.ＰＥＮＡＮＡM9h4h75ixX
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第三課 記住「排列組合法」171Please respect copyright.ＰＥＮＡＮＡRN01bhfE93
從賽馬了解「排列」與「組合」171Please respect copyright.ＰＥＮＡＮＡ9v7m7VLIXz
Step①了解階乘的計算方法171Please respect copyright.ＰＥＮＡＮＡ1OKf15WDs4
Step②了解排列的計算方法171Please respect copyright.ＰＥＮＡＮＡTxXmdl0oLa
Step③了解組合的計算方法171Please respect copyright.ＰＥＮＡＮＡHDdADGAp5p
了解「排列」與「組合」的式子171Please respect copyright.ＰＥＮＡＮＡoMA7u4nCgV
「排列」和「組合」的符號是「P」和「C」171Please respect copyright.ＰＥＮＡＮＡtCmbuzqyYq
運用「排列」和「組合」排班表171Please respect copyright.ＰＥＮＡＮＡ8e9bI65DPZ
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第四課 搞懂「離散值」和「標準差」171Please respect copyright.ＰＥＮＡＮＡkibdFJ6VO2
資訊分析的基礎是找到「數據的規則」171Please respect copyright.ＰＥＮＡＮＡqDsJLKOSnx
兩個步驟找出離散程度171Please respect copyright.ＰＥＮＡＮＡKcervQIUrD
平均、分散、標準差的深～度關係171Please respect copyright.ＰＥＮＡＮＡSowmGiafES
平均、離散、標準差的記號171Please respect copyright.ＰＥＮＡＮＡ1GfuQCm2hl
試著用Excel計算標準差171Please respect copyright.ＰＥＮＡＮＡlswFZJPqYu
也把「偏差值」的計算公式記起來171Please respect copyright.ＰＥＮＡＮＡuTFRnHoUKS
附註內容①深奧的平均世界171Please respect copyright.ＰＥＮＡＮＡuEp1q7Jblj
附註內容②平均值、中位數、眾數171Please respect copyright.ＰＥＮＡＮＡd835QKavRY
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第三天 超爽快！掌握高中文組數學的「分析」！171Please respect copyright.ＰＥＮＡＮＡgUnb78D79l
第一課 豁然開朗！函數的世界171Please respect copyright.ＰＥＮＡＮＡEFJJ4jaBvA
函數與方程式的差別？171Please respect copyright.ＰＥＮＡＮＡgVjWQZQ2ol
高中數學的4種函數171Please respect copyright.ＰＥＮＡＮＡe440HlcnA6
Column少年西成的理科腦情書171Please respect copyright.ＰＥＮＡＮＡIxMPtWb0zz
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第二課 來複習二次函數！171Please respect copyright.ＰＥＮＡＮＡdTpbh9HNZd
速速複習！二次方程式171Please respect copyright.ＰＥＮＡＮＡdhveIbOLs5
畫出二次函數的圖形！171Please respect copyright.ＰＥＮＡＮＡxRa8iylqW4
Column 物理學家是名偵探171Please respect copyright.ＰＥＮＡＮＡwCrLqaIrfs
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第三課 指數函數超好用！171Please respect copyright.ＰＥＮＡＮＡ35GJIVwLhT
記住指數函數的相關用語171Please respect copyright.ＰＥＮＡＮＡKCjZwPPlTQ
基本規則①乘冪相乘時，指數相加171Please respect copyright.ＰＥＮＡＮＡqRFAs3y62J
基本規則②乘冪再乘冪時，指數相乘171Please respect copyright.ＰＥＮＡＮＡKdwC1GkNgO
基本規則③乘冪相除時，指數相減171Please respect copyright.ＰＥＮＡＮＡsWowBfuOLy
指數是負數時會怎樣？171Please respect copyright.ＰＥＮＡＮＡWe15tc3V97
指數是「0」的時候會怎樣？171Please respect copyright.ＰＥＮＡＮＡHeIvRhQsKa
根號可以轉換成指數運算171Please respect copyright.ＰＥＮＡＮＡpLdK8dMwM6
統整指數運算的處理方式171Please respect copyright.ＰＥＮＡＮＡbuzQBMaOwC
將指數函數做成圖形看看！171Please respect copyright.ＰＥＮＡＮＡpwVqTnK8xu
順便來談談「對數函數」的內容171Please respect copyright.ＰＥＮＡＮＡlwIU3zhUHZ
天文數字也可以處理的對數函數171Please respect copyright.ＰＥＮＡＮＡO1mHKSoZNi
指數函數與音樂的深～度關係171Please respect copyright.ＰＥＮＡＮＡUT0U2OCGSf
用iPhone計算指數函數的方法171Please respect copyright.ＰＥＮＡＮＡYd2SGHHLeh
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第四天 秒懂高中數學的「幾何」精髓！171Please respect copyright.ＰＥＮＡＮＡMIzaqMx3qm
第一課 不再霧煞煞的「三角比」171Please respect copyright.ＰＥＮＡＮＡjbudHER7ru
以餘弦定理搞懂三角形171Please respect copyright.ＰＥＮＡＮＡGWGdenxaDx
畫三角形的「西成流」作法171Please respect copyright.ＰＥＮＡＮＡyvaVPgyA2t
sin、cos、tan是指「邊長比」171Please respect copyright.ＰＥＮＡＮＡskBQHqmZfR
忘掉tan的存在吧！171Please respect copyright.ＰＥＮＡＮＡvfwHwcrZD6
直角三角形的定義中必要的θ171Please respect copyright.ＰＥＮＡＮＡH4Muq33XL4
三角比經常出現的陷阱題171Please respect copyright.ＰＥＮＡＮＡqywSxNTFXb
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第二課 俐落導出餘弦定理公式171Please respect copyright.ＰＥＮＡＮＡ5ceTQELIAF
用三角比可以做的事171Please respect copyright.ＰＥＮＡＮＡUVWVLxiMTQ
導出餘弦定理①事前準備171Please respect copyright.ＰＥＮＡＮＡUxbaUZnGYF
導出餘弦定理②成立公式、解開171Please respect copyright.ＰＥＮＡＮＡA8bfO4Yue1
導出餘弦定理③證明sin2θ+ cos2θ= 1171Please respect copyright.ＰＥＮＡＮＡADlWJcxjPa
導出餘弦定理④完成171Please respect copyright.ＰＥＮＡＮＡidLaDjcqjK
餘弦定理與畢氏定理的關係171Please respect copyright.ＰＥＮＡＮＡ9L1yHMpWjJ
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第三課 學習最後的分析工具「三角函數」！171Please respect copyright.ＰＥＮＡＮＡ2silW7fAW6
三角函數只是將θ與y的關係圖像化171Please respect copyright.ＰＥＮＡＮＡzGiJCSYUgY
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第五天 特別課程①：幾何的最終武器「向量」！171Please respect copyright.ＰＥＮＡＮＡNR0WaIWyqe
第一課 偉大的「向量」171Please respect copyright.ＰＥＮＡＮＡk9dgmB8R5q
用代數解幾何問題！？171Please respect copyright.ＰＥＮＡＮＡSngmiRLuin
「短短數行」就能證明餘弦定理171Please respect copyright.ＰＥＮＡＮＡcP3YAEG6hZ
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第二課 了解「向量」的超嶄新概念171Please respect copyright.ＰＥＮＡＮＡMyKnHz1ToX
向量是集結兩種資訊的「特殊容器」171Please respect copyright.ＰＥＮＡＮＡqEc0C2SbYX
眾所熟知的「純量」171Please respect copyright.ＰＥＮＡＮＡWmn75yKJic
數據時代的主角「張量」171Please respect copyright.ＰＥＮＡＮＡKeqc28skN7
為什麼我們需要向量？171Please respect copyright.ＰＥＮＡＮＡwCaNdsM9QL
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第三課 「向量」是用箭頭當作記號唷171Please respect copyright.ＰＥＮＡＮＡ5AcVVw9zog
向量的書寫規則171Please respect copyright.ＰＥＮＡＮＡ8GrLOtZ154
張量的畫法171Please respect copyright.ＰＥＮＡＮＡgASAhrKTrc
試著把向量畫成圖171Please respect copyright.ＰＥＮＡＮＡfSnX6VVpHp
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第四課 「向量」的計算超簡單！171Please respect copyright.ＰＥＮＡＮＡPljU1lJphl
來算算向量的加法吧171Please respect copyright.ＰＥＮＡＮＡ8TiBf3zAHj
也來算算向量的減法171Please respect copyright.ＰＥＮＡＮＡiG3Rhp4dmO
試著分解向量吧171Please respect copyright.ＰＥＮＡＮＡ954totbZXB
試著挑戰向量的乘法171Please respect copyright.ＰＥＮＡＮＡBJ2ITAjyrD
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第五課 靠「向量」秒殺餘弦定理！171Please respect copyright.ＰＥＮＡＮＡNunLctLj1F
用向量瞬間導出餘弦定理！171Please respect copyright.ＰＥＮＡＮＡIEgNjDNpGf
不論幾次元都能處理的向量171Please respect copyright.ＰＥＮＡＮＡixlugeIp8t
Column少年來了！（前篇）171Please respect copyright.ＰＥＮＡＮＡ90d3H5Zdf5
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第6天 特別課程②：用「微積分」預測未來！171Please respect copyright.ＰＥＮＡＮＡeiBBwlCmiz
第一課 人類的寶物！了解微分積分171Please respect copyright.ＰＥＮＡＮＡypcbwJkewx
微分積分與函數的關係171Please respect copyright.ＰＥＮＡＮＡi3yzLLItyP
今天的主題是「三角形面積」171Please respect copyright.ＰＥＮＡＮＡbemx1esATI
牛頓VS萊布尼茲的仁義之戰171Please respect copyright.ＰＥＮＡＮＡiKY7dToS5v
怎麼區分最合適？171Please respect copyright.ＰＥＮＡＮＡyB7byfn11Y
用微積分計算三角形的面積！171Please respect copyright.ＰＥＮＡＮＡrWd3oLoVYt
來認識微分積分的符號171Please respect copyright.ＰＥＮＡＮＡ9lYbD5TZuV
Column少年來了！（後篇）171Please respect copyright.ＰＥＮＡＮＡ2gUiU3ZubT
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第二課 用Excel預測未來！171Please respect copyright.ＰＥＮＡＮＡSBhhgrhlpu
現代人，用Excel就能預測未來171Please respect copyright.ＰＥＮＡＮＡVUJ8x7BqVs
掌握Excel的使用方法！171Please respect copyright.ＰＥＮＡＮＡck9C9kBslv
「數學家」、「AI」、「統計學家」的差別171Please respect copyright.ＰＥＮＡＮＡwO0kb9ZnVk
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後記
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from《真希望高中數學這樣教：系列暢銷20萬冊！跟著東大教授的解題祕訣，6天掌握高中數學關鍵》
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實在沒辦法只作一頁截圖，所以把指數函數和音階的關係，全部截圖下來，放在這裡，也可以讓大家看到，這本書及其姐妹作《真希望國中數學這樣教：暢銷20萬冊！6天搞懂3年數學關鍵原理，跟著東大教授學，解題力大提升！》的寫作風格，就是這麼樸實無華輕鬆有趣。
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這本書以對話體呈現，採訪者提問，教授回答，文字就是對話和解釋，佐以圖表和插圖，內容雖然是數學，卻不枯燥 (至少對我而言)，看完以後是否能提升數學能力 and/or 對數學的興趣，就有待讀者自己發掘了。
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不喜歡數學，很多時候是過去的陰影 (對老師、對學校、對教法、對教材、對考試⋯⋯) 造成的，其實與數學本身無涉；數學是一種語言，跟生活經驗極其相關。
伽利略認為「自然寫在宇宙這本大書上，而這本書是用數學語言寫成的。」
生而為人，我覺得很幸運，可以用數學這個語言，試著了解宇宙的奧妙。
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以上心得，部分文字出自《真希望國中數學這樣教：暢銷20萬冊！6天搞懂3年數學關鍵原理，跟著東大教授學，解題力大提升！》網頁下方會員評鑑「有感而發」的書評，不用懷疑，那個「有感而發」就是我本人啦。
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點一下網頁的「有感而發」，就可以看到我在博客來寫的書評，連結如下：
https://www.books.com.tw/booksComment/memberComment/xxx1406281
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【十二年國教課程綱要：數學領域 (節錄)】
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【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
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今天到此為止，我們明天見！！
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